8.40 Work hours per week The General Social Survey asked 40 respondents about the number of hours they usually work in a week. A researcher analyzing data from the 2014 GSS obtained the following StatCrunch output:

95% confidence interval results:

m : Mean of variable

a. Show how to construct the confidence interval from the other information provided.

b. Can you conclude that the population mean is larger than 43? Explain.

c. Would the confidence interval be wider, or narrower, (i) if you constructed a 99% confidence interval?
(ii) if n = 400 instead of 40?

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Sample Std. Std. L. U. Variable Mean Dev. Err. DF Limit Limit Number 38.7 12.416284 1.9631868 39 34.72908 42.67092 of work hours in a week